Commit 2026-03-17 20:24 58f63c64

feat(Analysis/Normed): Schauder basis definition and characterization via projections (#34209) A Schauder basis is a fundamental concept in functional analysis, providing a way to represent every element of a Banach space as a unique convergent series. This PR adds the core structures, some theorems necessary to work with these bases and a characterization of a Schauder basis using projections. This PR is based on Chapter 1. from Albiac, F., & Kalton, N. J. (2016). Topics in Banach Space Theory. This is a first PR in a series of three aiming for Eberlein-Smulyan Theorem. The next one will contain theory of basic sequences and the final one will contain a proof of Eberlein-Smulyan Theorem using basic sequences.